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1 May, 23:54

NONE CAN SOLVE! It takes Lucas 3 hours to cycle from his home to his friend's village. But if he travels 5 mph slower, it will take him 1.5 hours longer. How far is the friend's village from Lucas' house?

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Answers (2)
  1. 2 May, 00:09
    0
    It takes Lucas 3 hours to cycle from his home to his friend's village:

    3 hours • (a certain speed) = distance in miles

    If he travels 5mph slower, it will take him 1.5 hours longer:

    4.5 hours • (the same speed - 5mph) = the same distance in miles

    Equation:

    4.5 • (x - 5) = 3x

    4.5x - 22.5 = 3x

    1.5x = 22.5

    x (speed) = 15mph

    Distance between Lucas' house and his friend's village:

    3hours • 15mph = 45 miles

    OR

    4.5hours • (15mph - 5mph) = 45 miles
  2. 2 May, 00:16
    0
    45 miles
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